In making plastics a colourless gas is used and some will leak into the air. the manufacturer has given instructions to halt production if the mean (average ) amount of this gas in the area exceeds 3.0 parts per million (ppm). every day the safety manager plans to select a large sample n=50 air specimens and to perform a one tailed test ha µ > 3 at significance level α = 0.01. determine the lower limit of the rejection region of this test. give your answer to 2 decimal places.

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answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

step-by-step explanation: